PRP Records

Probable Primes Top 10000

(193013 PRPs in the top)


What is a PRP ?

A PRP is a probable prime number, a number that nobody knows how to prove or disprove its primality.
Here are some criterions that can be used to recognize these numbers :

- N does not have any prime factor up to 2^32.
- N cannot be trivially written into a product.
- Take 3 square-free consecutive bases such that (b1/N)=(b2/N)=(b3/N)= -1. N should be such that b1^((N-1)/2)=b2^((N-1)/2)=b3^((N-1)/2)= -1 (mod N).
- Take a prime base such that (b/N)= -1 and b<>b1<>b2<>b3. N should pass the strong test in base b.
- or more (if someone has got an idea) !!!


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1-250   251-500   501-750   751-1000   1001-1250   1251-1500   1501-1750   1751-2000   
2001-2250   2251-2500   2501-2750   2751-3000   3001-3250   3251-3500   3501-3750   3751-4000   
4001-4250   4251-4500   4501-4750   4751-5000   5001-5250   5251-5500   5501-5750   5751-6000   
6001-6250   6251-6500   6501-6750   6751-7000   7001-7250   7251-7500   7501-7750   7751-8000   
8001-8250   8251-8500   8501-8750   8751-9000   9001-9250   9251-9500   9501-9750   9751-10000   


Rank Probable prime Digits (> 30000) Who ? When ?
80015^84475-1859046Lelio R Paula10/2012
80022^196123-1770159039Enzo Doria05/2013
800312^54702-3159034Lelio R Paula03/2013
80042^196101-17559033Lelio R Paula04/2011
80052^196085+577559028Lelio R Paula05/2011
80062^196034+1171559013Lelio R Paula05/2011
80072^196018-1848559008Enzo Doria05/2013
80082^195984-216358998Yves Minet08/2013
80093^123645-1658994Lelio R Paula10/2012
801039^37078-3858994Norbert Schneider05/2014
80112^195958-1685358990Enzo Doria05/2013
80122^195930-307158981Yves Minet10/2014
80132^195924+51358980Lelio R Paula05/2011
80142^195863+15558961Lelio R Paula04/2011
8015(28*10^58956+113)/358957Robert Price03/2016
801611^56612-930058956Enzo Doria02/2013
80172^195833-1717358952Enzo Doria05/2013
8018(27*2^195833-1)/5358952Lelio R Paula01/2014
8019(13*2^195821-1)/12242558945Lelio R Paula01/2014
8020139^27504-13858942Norbert Schneider10/2015
8021(418*10^58923+23)/958925Robert Price08/2017
80223^123495+4458923Lelio R Paula10/2012
80232^195737-1856558923Enzo Doria05/2013
802414^51407+4758920Lelio R Paula03/2013
80252^195691-9958909Lelio R Paula04/2011
80262^195667-185982758902Enzo Doria04/2016
80272^195642+7549958895Enzo Doria04/2016
8028(299*10^58893+1)/358895Robert Price11/2017
80298*6^75678+558890Lelio R Paula09/2014
80312^195618+7318958887Enzo Doria04/2016
8030(3928^20480+1)/(3928^4096+1)58887Serge Batalov01/2017
8032t(197953)58881Robert Price12/2014
80332^195581-1610558876Enzo Doria04/2013
8034(8*10^58872+67)/358873Robert Price01/2017
80357*2^195542-558865Lelio R Paula03/2014
80362*10^58861+9^5886158862Mike Oakes04/2011
803711^56513-162058853Enzo Doria11/2012
80382^195496+16558851Lelio R Paula04/2011
80395^84187+6658845Lelio R Paula10/2012
8040(28*10^58843-43)/358844Robert Price04/2016
80412^195462-1756558840Enzo Doria05/2013
80422^195435+5927358832Yves Minet01/2011
80432^195424-1860558829Enzo Doria05/2013
80442^195385-11158817Lelio R Paula04/2011
80457*10^58815-8358816Robert Price09/2017
8046(47*2^195254+1)/26882158774Lelio R Paula03/2015
80472^195207-1810958764Enzo Doria05/2013
80482^195199-156758761Yves Minet08/2012
80492^195190+7375958759Enzo Doria04/2016
80509*7^69525-458757Lelio R Paula09/2014
80512^195170-1804558753Enzo Doria05/2013
80522^195166-16558751Lelio R Paula04/2011
8053(754*10^58748-7)/958750Robert Price11/2017
8054(22699*2^195140+1)/17558746Lelio R Paula05/2014
80557*3^123109-258739Lelio R Paula04/2014
8056(8*10^58738-611)/958738Robert Price11/2017
805718^46790+7758735Lelio R Paula03/2013
80592^195095-33729758730Gary Barnes09/2009
8058(14*10^58729+31)/958730Robert Price02/2015
806099^29424+9858720Norbert Schneider07/2013
8061(15185*2^195039-1)/21958715Lelio R Paula04/2015
80622^195001-6958702Lelio R Paula04/2011
80632^194978-48781158695Gary Barnes09/2009
8064163^26530+26530^16358690Serge Batalov05/2014
80652^194940-194940+158683Robert Price10/2014
8066(76*10^58669+41)/958670Robert Price10/2015
806714^51186+8758666Lelio R Paula03/2013
80682^194878-9730558665Lelio R Paula09/2011
80695^83927-1813658663Enzo Doria05/2014
8070(24737*2^194865+1)/108558662Lelio R Paula06/2014
80717^69411+4058660Lelio R Paula10/2012
80726^75382-7958659Lelio R Paula10/2012
80732^194854+2758657Lelio R Paula04/2011
80742^194801+2983558641Lelio R Paula10/2012
80752^194752+19558627Lelio R Paula04/2011
80767^69371-6^6937158626Predrag Minovic08/2004
80772^194747-11251958625Enzo Doria06/2014
8078(15*2^194737+1)/5958622Lelio R Paula07/2012
8079(23*2^194700+1)/358612Lelio R Paula02/2012
808010^58608+5527358609Patrick De Geest07/2017
808110^58608-80000158608Robert Price06/2017
808210^58608-6011958608Patrick De Geest07/2017
80835^83836+7658599Lelio R Paula10/2012
808418^46664+3158577Lelio R Paula03/2013
8085(34*10^58577-7)/9/19/46358574Makoto Morimoto04/2016
80862^194574+16558573Lelio R Paula04/2011
80872^194569-1221158572Enzo Doria06/2014
808810^58571+5^58571+2^5857158572Robert Price12/2016
808910^58571+20283758572Patrick De Geest02/2017
8090(10^58571+41)/358571Robert Price01/2017
809110^58571-34362958571Patrick De Geest02/2017
8092(43*10^58563-403)/958564Robert Price04/2017
809311^56235-795058563Enzo Doria02/2013
8094(14*10^58550+211)/958551Robert Price11/2017
80952^194479-11323958545Enzo Doria07/2014
80962^194455-11224958537Enzo Doria06/2014
80972^194405-11191958522Enzo Doria05/2014
8098(4*10^58521-19)/358522Robert Price06/2017
8099(7^69247-4^69247)/358521Robert Price06/2012
81005*7^69246+858521Lelio R Paula09/2014
81012^194358-116758508Lelio R Paula05/2011
8102(2^194366+7)/137358507Lelio R Paula02/2012
8103(493*10^58486-7)/958488Robert Price07/2016
81043^122579-34058486Lelio R Paula10/2012
8105(11*10^58458-149)/358459Robert Price01/2017
8106(47*10^58456+133)/958457Robert Price04/2017
81072^194186+8558456Lelio R Paula04/2011
81083^122506-2^(122506-1)58451Robert Price01/2016
8109(74^31267-1)/7358444Paul Bourdelais08/2017
8110177^25998-258443Lelio R Paula10/2017
811115^49690-2658440Lelio R Paula03/2013
811210^58437+11072158438Patrick De Geest12/2012
811310^58437-1158437Robert Price05/2011
81142^194095+6958429Lelio R Paula04/2011
8115(29*10^58417-77)/358418Robert Price01/2017
81162^194034+17758411Lelio R Paula04/2011
8117789^20158+20158^78958400Norbert Schneider06/2016
811814^50949+7558395Lelio R Paula03/2013
81192^193974-11476158392Enzo Doria05/2015
81202^193965+558390Henri Lifchitz12/2002
8121(5*10^58384-29)/358385Robert Price02/2017
81223^122360+8058381Lelio R Paula10/2012
812310103^14577-11458373Enzo Doria07/2012
8124(22699*2^193883+1)/2158368Lelio R Paula06/2014
8125(31*2^193886+1)/14076558362Lelio R Paula07/2012
812611^56041-156058361Enzo Doria11/2012
8127(2^193881+9)/1769958360Lelio R Paula02/2012
81283^122313+5858359Lelio R Paula10/2012
81296^74996-11958359Lelio R Paula10/2012
8130(11*2^193859+1)/1358358Lelio R Paula07/2012
81312^193861-11225558358Enzo Doria06/2014
8132(22699*2^193854+1)/492758357Lelio R Paula06/2014
813318^46487+3758354Lelio R Paula03/2013
813417^47419+5458347Lelio R Paula03/2013
8135(31*2^193791+1)/358338Lelio R Paula02/2012
8136(27*2^193805-1)/98224958337Lelio R Paula01/2014
81373^122219-2^12221958314Mike Oakes09/2003
8138(199*10^58306+11)/358308Robert Price05/2017
81392^193674-1882558302Lelio R Paula05/2011
81405*10^58275+358276Dmitry Domanov11/2010
81412^193578-11291358273Enzo Doria06/2014
81422^193541+129958262Lelio R Paula05/2011
814310^58250+9358251Robert Price01/2011
814410^58250-17560758250Patrick De Geest12/2012
81452^193492+841558247Lelio R Paula10/2012
81462^193444+15758233Lelio R Paula04/2011
8147Phi(28754,28754)58231Henri Lifchitz08/2013
81482^193430-11188158229Enzo Doria05/2014
814910^58225+12457958226Patrick De Geest12/2012
815010^58225-9358225Robert Price05/2011
81512^193375-29558212Yves Minet05/2013
81522^193345+7726758203Enzo Doria05/2016
815321^44017-20^4401758201Robert Price05/2012
8154(17*2^193329-1)/958199Lelio R Paula01/2014
815517^47291+2058190Lelio R Paula03/2013
8156p(12528)#/2-12858170Robert Price05/2017
81572^193214-13558164Lelio R Paula04/2011
815819^45483-8058162Lelio R Paula03/2013
8159(4*10^58155+83)/358156Robert Price01/2017
816014^50739-1358154Lelio R Paula03/2013
8161(1017*2^193184-1)/482358154Lelio R Paula04/2015
8162(2*10^58151+457)/958151Robert Price01/2017
8163(9179*2^193183-1)/399926787958149Lelio R Paula04/2015
8164(19*2^193114-1)/118675558129Lelio R Paula01/2014
81662^193091-123758127Yves Minet08/2012
81659*7^68780-258127Lelio R Paula09/2014
81672^193083-86968810558124Lelio R Paula10/2012
81682^193058-4558117Lelio R Paula04/2011
8169(14016^14016+14017^14017)/(23*7103*19913)58115David Broadhurst09/2009
817011^55795-4258105Lelio R Paula03/2013
81713^121779-1658104Lelio R Paula10/2012
8172(13*10^58103+191)/358104Robert Price08/2017
81732^192986+19558095Lelio R Paula04/2011
81747^68740+2*3^6874058093Mike Oakes07/2010
8175(85*10^58091-1)/358093Robert Price07/2017
8176(404*10^58087-53)/958089Robert Price11/2017
817712^53821+1158083Lelio R Paula02/2013
8178119^27979-11858072Norbert Schneider10/2013
8179(10223*2^192828+1)/24358049Lelio R Paula05/2014
81802^192808-112758041Yves Minet05/2013
8181(27*2^192803+1)/982758037Lelio R Paula07/2012
8183(2^192781+lucasV(1,2,192781)+1)/458033Mike Oakes11/2016
81823*10^58032-2358033Robert Price11/2017
81842^192678+7294358002Enzo Doria04/2016
8185(13*10^57997-37)/357998Robert Price08/2017
81862^192657-318957996Yves Minet10/2014
81876^74525-14957992Lelio R Paula10/2012
818842^35723-4157988Norbert Schneider06/2014
8189(29*2^192625-1)/18357986Lelio R Paula01/2014
8190(3^121520-8)/384757977Lelio R Paula03/2012
8191(2^192596-5)/13957976Lelio R Paula02/2012
819210^57975+6783357976Patrick De Geest09/2013
819310^57975-4769357975Patrick De Geest09/2013
8194(F(7707)^37-F(7706)^37)/F(7705)57972Wayne Halsdorf03/2012
8195(29*10^57967+673)/957968Robert Price10/2017
8196(3^121492-5)/457966Lelio R Paula03/2012
81972^192549+3557964Lelio R Paula04/2011
819828799!2+257962Robert Price10/2012
8199(7*2^192534-1)/134757957Lelio R Paula01/2014
82007001^15069-10057943Enzo Doria07/2012
8201L(277273)/1109092157940Donovan Johnson11/2005
8202(2^192469-1017)/3557938Lelio R Paula02/2012
82032^192457-1155*19245757936Henri Lifchitz02/2005
82042^192443+138557932Lelio R Paula05/2011
8205132^27317-13157928Norbert Schneider03/2015
820641522!3-5904957912Robert Price12/2015
8207(3*2^192380-1)/16957911Lelio R Paula01/2014
82082^192339-251557900Yves Minet07/2014
82092^192303+769557889Lelio R Paula10/2012
82102^192273-595557880Lelio R Paula05/2011
82112^192257+1609557876Lelio R Paula05/2011
8212109^28401-257865Lelio R Paula10/2017
82132^192218-11186157864Enzo Doria05/2014
82142^192214-394157863Yves Minet04/2017
8215(2^192212+3)/25957860Lelio R Paula02/2012
8216(3^121270+8)/15593975357853Lelio R Paula03/2012
821780^30393-7957841Norbert Schneider03/2015
821820^44455-312357838Enzo Doria03/2013
82192^192122-19557835Lelio R Paula04/2011
8220(29*10^57834+91)/357835Robert Price03/2016
82218*6^74306+557823Lelio R Paula09/2014
8222(39^36341-1)/3857820Robert Price04/2012
82232^192037-11180557809Enzo Doria05/2014
82242^192023-192023^257805Henri Lifchitz05/2005
822521^43717+257804Ray Chandler08/2011
82268*5^82687+757797Lelio R Paula09/2014
82275^82680-2457791Lelio R Paula10/2012
8228(2^191915+47)/9557771Lelio R Paula02/2012
8229(74*10^57763+133)/957764Robert Price10/2017
82306^74227-9557760Lelio R Paula10/2012
82312^191861+2983557756Lelio R Paula10/2012
82321908^17605+17605^190857755Serge Batalov05/2014
82335*10^57754+5957755Robert Price09/2016
8234(5*2^191821-1)/892406757738Lelio R Paula01/2014
82353*8^63917+5^63917-3*4^63917+3*2^6391757724Mike Oakes11/2010
823641399!3-656157723Robert Price11/2015
8237(44*10^57721-233)/957722Robert Price10/2017
82382^191745+1757721Lelio R Paula04/2011
82392^191730-76157717Yves Minet01/2012
8240(2^191733-3)/225157715Lelio R Paula02/2012
82412^191698-11157707Lelio R Paula04/2011
8242(13*10^57691+23)/957692Robert Price02/2015
824320^44340-542357688Enzo Doria03/2013
8244(27*2^191629+1)/12557686Lelio R Paula07/2012
82454*10^57684+3*7^5768457685Mike Oakes11/2010
82462*3^120898+557684Lelio R Paula04/2014
8247(6883*2^191610-1)/734757681Lelio R Paula04/2015
82486^74117-4957675Lelio R Paula10/2012
82492^191586-11320157674Enzo Doria07/2014
82502^191580+19357672Lelio R Paula04/2011


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: December, 09 2017 09:21 (Time in France)

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